Students can use Class 4 Maths Solutions and Maths Mela NCERT Class 4 Maths Chapter 5 Sharing and Measuring Question Answer Solutions to explore alternative problem-solving methods.
Class 4 Maths Chapter 5 Sharing and Measuring Question Answer Solutions
Sharing and Measuring Class 4 Maths Solutions
Class 4 Maths Chapter 5 Solutions
NCERT Textbook Page 62 – Let Us Discuss
Question 1.
Which part of the paper you would have chosen – one half or two quarters? Why?
Solution:
I would choose one half or two quarters because they are the same amount. One-half of the paper is equal to two quarters.
Question 2.
Do you think Ikra shared the paper equally? Why? Try with a paper.
Solution:
Yes, Ikra shared the paper equally because one-half is the same as two quarters. Both parts are of the same size.
Question 3.
How do you know that the paper has been divided equally?
Solution:
The paper has been divided equally because two quarters make up the same area as One half. If we combine two quarters, they form a half.
Question 4.
Why do you think Samina chose two quarters of the paper?
Solution:
Samina may have chosen two quarters because it sounds like she is getting more pieces, even though the total amount is the same as that of half.
NCERT Textbook Pages 63-64 – Let Us Do
Question 1.
Samina has divided some figures into two parts. Colour the figures that are divided into halves correctly. How did you get the answer?
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Solution:
Do it yourself.
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Question 2.
Divide the shapes into halves by drawing a line.
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Solution:
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Question 3.
Divide these shapes in 4 equal parts/quarters.
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Solution:
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NCERT Textbook Pages 64-65 – Let Us Try
Question 1.
In how many different ways can you fold/cut a rectangular paper in two equal parts? Try it with a rectangular paper.
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Solution:
Do it yourself.
Question 2.
Now try to draw and show five different ways in which we can fold/cut a rectangle into four equal parts (\(\frac{1}{4}\) or quarter).
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Solution:
Do it yourself.
Question 3.
Match the following parts with their corresponding wholes.
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Solution:
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NCERT Textbook Pages 66-68 Ding Dong Bell!!
How much dhokla does Sumedha get now?
Solution:
Each children get \(\frac{1}{5}\) part of dhokla
Sumedha’s part = \(\frac{1}{5}+\frac{1}{5}=\frac{2}{5}\)
So, Sumedha gets \(\frac{2}{5}\) part of dhokla.
NCERT Textbook Pages 68 – Let Us Discuss
Question 1.
What is Sumedha observing about her share as each guest comes in?
Solution:
Sumedha is observing that as many guests arrive, the dhokla has to be shared among more people. This means her portion of dhokla keeps getting smaller.
Question 2.
In which situation will Sumedha get to eat more dhokla: when shared among 9 people or 11 people?
Solution:
Sumedha will get to eat more when the dhokla is shared among 9 people because the fewer the people, the bigger the share each person gets.
Question 3.
How many pieces of \(\frac{1}{6}\) would make a complete dhokla?
Solution:
Since, each piece is \(\frac{1}{6}\) of the dhokla, and
6 × \(\frac{1}{6}\) = 1
So, 6 pieces of \(\frac{1}{6}\) would make a complete dhokla.
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Question 4.
What would be Sumedha’s share if Idha and Vinayak both give their share of dhokla to her?
Solution:
Idha’s share = \(\frac{1}{5}\)
Vinayak’s share = \(\frac{1}{5}\)
Sumedha’s total share = \(\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{3}{5}\)
So, Sumedha will get \(\frac{3}{5}\) of the dhokla if both Idha and Vinayak give their share to her.
NCERT Textbook Pages 68-69 Let Us Do
Question 1.
How much dhokla each person would get if it was shared equally among 6 people? Try also with 8 people. Who will get the bigger piece of dhokla? Draw and explain.
Solution:
If shared among 6 people.
Each person would get \(\frac{1}{6}\) part of the dhokla.
If shared among 8 people.
Each person would get \(\frac{1}{8}\) part of the dhokla.
\(\frac{1}{6}\) is bigger than \(\frac{1}{8}\) because the denominator is smaller, meaning each \(\frac{1}{6}\) part is larger.
So, the person in the group of 6 people will get the bigger piece of dhokla.
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Question 2.
Shade a portion of the dhakla to represent the fraction Sumedha would get when the dhokla is shared equally among the given number of people. Discuss why the fractions get smaller.
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Solution:
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NCERT Textbook Page 69 Let Us Discuss
Use the fraction kit given at the end of your textbook.
Explore the kit to answer the following questions.
Question 1.
Share your observations about different pieces and the whole.
Solution:
Do it yourself.
Question 2.
Take any two different pieces of the fraction kit and compare them. Discuss which one is smaller and why.
Solution:
Do it yourself.
Question 3.
Sumedha noticed that when a whole is equally divided in a larger number of parts, each part gets smaller. Do you agree with Sumedha?
Solution:
Yes.
Question 4.
Sumedha says, “When I join 5 pieces of \(\frac{1}{5}\), it makes a whole dhokla”. Try to do it yourself with your fraction kit.
Solution:
Do it yourself.
Question 5.
Sumedha says this part is one- third of the complete whole. Why is she saying so?
Solution:
The taken part is one-third because the dhokla is divided into three parts.
NCERT Textbook Page 70
Let’s us try to fill in the blanks. Both the fractions are parts of the same whole. Use your fraction kit, if necessary. Share your thoughts.
1. ________ is greater than ________ (\(\frac{1}{5}\), \(\frac{1}{4}\)).
2. ________ > ________ (\(\frac{1}{9}\), \(\frac{1}{6}\))
3. \(\frac{1}{6}\) ________ \(\frac{1}{8}\).
4. ________ is smaller than ________ ( ____ , ____ ).
Solution:
1. \(\frac{1}{4}\) is greater than \(\frac{1}{5}\) (\(\frac{1}{5}\), \(\frac{1}{4}\)).
2. \(\frac{1}{6}\) > \(\frac{1}{9}\) (\(\frac{1}{9}\), \(\frac{1}{6}\))
3. \(\frac{1}{6}\) ____>____ \(\frac{1}{8}\).
4. \(\frac{1}{7}\) is smaller than \(\frac{1}{5}\) (\(\frac{1}{7}\) , \(\frac{1}{5}\)).
NCERT Textbook Pages 71-72 – Let Us Do
Make a flower garden with seven flowering seeds – Mogra, Marigold, Jamine, Rose, Lilly, Hibiscus and Periwinkle.
(a) Marigold in one-seventh (\(\frac{1}{7}\)) and Rose and
Hibiscus in three-sevenths (\(\frac{3}{7}\)) part each.
Solution:
Do it yourself.
(b) Lilly in three-sevenths (\(\frac{3}{7}\)), Marigold in two-sevenths (\(\frac{2}{7}\)) and Periwinkle in another two-sevenths (\(\frac{2}{7}\)).
Solution:
Do it yourself.
c) Mogra in five-sevenths (\(\frac{5}{7}\)) part and Hibiscus in two-sevenths (\(\frac{2}{7}\)).
Solution:
Do it yourself.
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NCERT Textbook Pages 73 – Do it Yourself
Write the fractions for each of the toppings in the following dosas.
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Solution:
1. Chilli paneer = \(\frac{4}{6}\)
2. Classic potato = \(\frac{2}{6}\)
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Solution:
1. Tangy tomato = \(\frac{2}{6}\)
2. Classic potato = \(\frac{2}{6}\)
3. Spicy onion = \(\frac{2}{6}\)
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Solution:
1) Spicy onion = \(\frac{4}{8}\)
2) Tangy tomato = \(\frac{4}{8}\)
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Solution:
1) Tangy tomato = \(\frac{1}{6}\)
2) Classic potato = \(\frac{2}{6}\)
3) Spicy onion = \(\frac{3}{6}\)
Now you can make different dosas based on the demand.
Make a dosa with \(\frac{2}{3}\) topping of Spicy onion, \(\frac{1}{3}\) of Classic potato.
Solution:
Do it yourself
Make a dosa with \(\frac{3}{8}\) of Classic potato masala, \(\frac{1}{8}\) of Chilly paneer and \(\frac{4}{8}\) of Tangy tomato mix.
Solution:
Do it yourself.
NCERT Textbook Pages 73 – Let Us Explore
Meena has 8 diyas. Colour \(\frac{1}{4}\) of her diyas red. To find \(\frac{1}{4}\), let us divide the number of diyas into 4 equal parts. Can you see how to divide the diyas into 4 equal parts? Now colour 2 diyas red.
Solution:
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NCERT Textbook Page 74 – Let Us Do
Question 1.
There are 12 cookies. What part of cookies will each get if the number of children are as follows:
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(a) 3 children
(b) 6 children
(c) 2 children
(d) 4 children
Solution:
(a) Total number of cookies = 12
Number of children = 3
Share of each child = \(\frac{1}{3}\)
Each child will get 4 cookies.
(b) Total number of cookies
Number of children = 6
Share of each child = \(\frac{1}{6}\)
Each child will get 2 cookies
(c) Total number of cookies
Number of children = 2
Share of each child = \(\frac{1}{2}\)
Each child will get 6 cookies
(d) Total number of cookies
Number of children = 4
Share of each child = \(\frac{1}{4}\)
Each child will get 3 cookies
Question 2.
Simran calls her school friends for her birthday party. \(\frac{1}{3}\) of her friends received a hairband as their return gift. Place hairbands on \(\frac{1}{3}\) of her friends.
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Solution:
Do it yourself.
Question 3.
Draw flowers in \(\frac{1}{5}\) of the given number of pots.
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Solution:
Do it yourself.
NCERT Textbook Page 75 – Let Us Find Fractions in Our Surroundings
Kadamba is … your notebook.
Question 1.
Yesterday Mummy asked to divide a box of barfis into four equal parts. There are 16 barfis in the box. Draw a picture of 16 barfis and find \(\frac{1}{4}\) part of the whole. How many barfis are in each part?
Solution:
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Barfis in each part = 16 × \(\frac{1}{4}\) = 4 barfis
Question 2.
Rohan has a piece of ribbon to decorate his notebook. Mohan’s ribbon is one-fourth as long as Rohan’s ribbon. How long will Rohan’s ribbon be? Draw it.
Mohan’s Ribbon ________
Solution:
Mohan’s ribbon is \(\frac{1}{4}\) th of Rohan’s ribbon.
This means Rohan’s ribbon is 4 tinjes the length of Mohan’s ribbon.
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Try Yourself
Observe your surroundings and think of situations where we use fractions and write any two of them in the space provided below.
Solution:
Do it yourself.
NCERT Textbook Page 76 – Let Us DO
1. Take a rectangular piece of paper and fold the paper into three equal parts and then unfold it.
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2. Colour one of the three equal parts as shown in the image.
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3. Fold the paper back into three equal parts like before, and then fold it in half.
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4. Observe the colored part. What is the fraction for the shaded part now? What does this mean?
5. Fold the paper again and check how the coloured part changes.
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6. Write down what fraction you observe after each fold.
\(\frac{1}{3}\) = \(\frac{2}{6}\) = ____ = ____ = ____
Solution:
Do it yourself.
NCERT Textbook Page 77 – Let Us Try
Take another piece of paper and try the same starting with two equal parts, and halving every time. Share the findings with your friends.
\(\frac{1}{2}\) = \(\frac{2}{4}\) = ____ = ____ = ____
Solution:
\(\frac{1}{2}=\frac{2}{4}=\frac{4}{8}=\frac{8}{16}=\frac{16}{32}\)
Let Us Discuss
Observe the fraction chart and discuss the following questions. You may use your fraction kit also to explore the answers.
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Question 1.
How many \(\frac{1}{4}\) s are equal to \(\frac{1}{2}\)?
_________________________________
Solution:
Since \(\frac{1}{4}+\frac{1}{4}=\frac{1}{2}\), then answer is 2.
Question 2.
Is \(\frac{2}{3}\) less than or greater than 12 ?
_________________________________
Solution:
Since, \(\frac{1}{2}\) and \(\frac{1}{2}\).
By comparing, \(\frac{1}{2}\) is greater than \(\frac{1}{2}\).
Therefore, \(\frac{2}{3}\) is greater than \(\frac{1}{2}\).
Question 3.
Ten pieces of \(\frac{1}{10}\) make a complete whole. Is this statement true?
_________________________________
Solution:
Yes, since 10 x \(\frac{1}{10}\) = 1
Question 4.
Three pieces of \(\frac{1}{6}\) are equal to two pieces of \(\frac{1}{8}\). Is this true?
_________________________________
Solution:
Three pieces of \(\frac{1}{6}=\frac{3}{6}=\frac{1}{2}\)
Two pieces of \(\frac{1}{8}=\frac{2}{8}=\frac{1}{4}\)
Since \(\frac{1}{2} \neq \frac{1}{4}\), so the statement is false.
Question 5.
How many pieces of \(\frac{1}{8}\) make \(\frac{1}{4}\) ?
_________________________________
Solution:
Since \(\frac{1}{4}=\frac{1}{8}+\frac{1}{8}\), so 2 pieces of \(\frac{1}{8}\) make \(\frac{1}{4}\).
Question 6.
Find the pieces that you can put together to make another bigger piece.
Solution:
Do it yourself.
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NCERT Textbook Pages 78-79 Let Us Do
Question 1.
Bablu is playing with square shapes. He wants to cut them in such a way that each piece is equal in size. Circle the squares which have been cut into equal parts. Write the fraction for the shaded part, whenever possible.
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Solution:
Do it yourself.
Question 2.
Check if the children’s claim below about the shaded parts of each of the pictures is correct. Circle the ones which you think are correct, cross out the ones which are not correct. You can draw additional lines to make the parts equal. Discuss your thinking.
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Solution:
Do it yourself.
Question 3.
Identify the fractions represented by the coloured parts in the given pictures.
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Solution:
\(\frac{1}{2}\), \(\frac{1}{3}\), \(\frac{1}{6}\)
Question 4.
Identify the fraction of the whole that the blue parts make in each of the pictures given below.
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Solution:
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Question 5.
Divide the following into equal parts and shade the appropriate parts in each.
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Solution:
Do it yourself.
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